Question

after crossing a bridge, abdul drives at a constant speed. the graph below shows the distance (in miles) versus the time since he crossed the bridge (in hours)

Answer 1

We will solve as follows:

a)

We can see that after each hour the distance will increase by 75 miles.

b)

We calculate the slope as follows:

We can see that the graph passes by the points (0, 0) & (1, 75), now we replace in the following expression:

$m=\frac{y_2-y_1}{x_2-x_1}$

Now, we replace:

$m=\frac{75-0}{1-0}\Rightarrow m=75$

So, the slope is 75.